Semileptonic decays of $D_{(s)}$ mesons

Abstract

A symmetry-preserving continuum approach to meson bound-states in quantum field theory, employed elsewhere to describe numerous $\pi$- and $K$-meson electroweak processes, is used to analyse leptonic and semileptonic decays of $D_{(s)}$ mesons. Each semileptonic transition is conventionally characterised by the value of the dominant form factor at $t=0$ and the following results are obtained herein: $f_{+}^{D_s\to K}(0)=0.673(40)$; $f_{+}^{D\to \pi }(0)=0.618(31)$; and $f_{+}^{D\to K}(0)=0.756(36)$. Working with the computed $t$-dependence of these form factors and standard averaged values for $|V_{cd}|$, $|V_{cs}|$, one arrives at the following predictions for the associated branching fractions: ${\mathcal{B}}_{D_s^{+}\to K^0{e}^{+}{\nu }_e}=3.31(33)\times 10^{-3}$; ${\mathcal{B}}_{D^0\to {\pi }^{-}{e}^{+}{\nu }_e}=2.73(22)\times 10^{-3}$; and ${\mathcal{B}}_{D^0\to K^{-}{e}^{+}{\nu }_e}=3.83(28)$%. Alternatively, using the calculated $t$-dependence, agreement with contemporary empirical results for these branching fractions requires $|V_{cd}|=0.221(9)$, $|V_{us}|=0.953(34)$. With all $D_{(s)}$ transition form factors in hand, the nature of SU$(3)$-flavour symmetry-breaking in this array of processes can be analysed; and just as in the $\pi$-$K$ sector, the magnitude of such effects is found to be determined by the scales associated with emergent mass generation in the Standard Model, not those originating with the Higgs mechanism.

9 pages, 5 figures, 4 tables

References in corpus (9)

• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Spectrum of light- and heavy-baryons
• Semileptonic decays of $D$ and $D_s$ mesons in the relativistic quark model
• B- to light-meson transition form factors
• Elastic electromagnetic form factors of vector mesons
• The BESIII Physics Programme
• Measurement of the $D^0\to {\pi }^{-}{e}^{+}{\nu }_e$ differential decay branching fraction as a function of $q^2$ and study of form factor parameterizations
• Testing Lepton Flavour Universality with (Semi)-Leptonic $D_{(s)}$ Decays

Cited by in corpus (15)

• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Impressions of the Continuum Bound State Problem in QCD
• Nucleon elastic form factors at accessible large spacelike momenta
• Fresh extraction of the proton charge radius from electron scattering
• In Pursuit of New Physics with $B_d^0\to J/\psi K^0$ and $B_s^0\to J/\psi \varphi$ Decays at the High-Precision Frontier
• Valence quark ratio in the proton
• Far-forward production of charm mesons and neutrinos at Forward Physics Facilities at the LHC and the intrinsic charm in the proton
• Pion charge radius from pion+electron elastic scattering data
• Semileptonic $B_c\to {\eta }_c,J/\psi$ transitions
• Study for a model-independent pole determination of overlapping resonances
• Heavy+light pseudoscalar meson semileptonic transitions
• Pauli radius of the proton
• Extracting a model quark propagator's spectral density
• Semileptonic transitions: $B_{(s)}\to \pi (K)$; $D_s\to K$; $D\to \pi ,K$; and $K\to \pi$